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Finding the Fourth Proportional to 50,704.38, 69,970.64 and 29,483.19

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Solution

The fourth proportional to 50,704.38, 69,970.64 and 29,483.19 is: 40,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.38 : 69,970.64 = 29,483.19 : x
  2. Step 2: Convert to fraction form
    50,704.38/69,970.64 = 29,483.19/x
  3. Step 3: Cross multiply
    50,704.38x = 69,970.64 × 29,483.19
  4. Step 4: Simplify right side
    50,704.38x = 2,062,957,526.13
  5. Step 5: Solve for x
    x = 2,062,957,526.13/50,704.38
  6. Step 6: Final answer
    x = 40,685.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.